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One objective
of RAS (Reliability, Availability, and
Serviceability) is to design diagnostic tests to fully test hardware.
The current RAS strategy is to check for lines which are stuck active
or inactive. For data lines, this can be
done by using multiple data
patterns which cause each data bit to be written both on and off. In
addition, to insure data integrity, CRC is appended to a string of
data.

In some
cases, latches are present which contain the last bytes
of a data transfer. Since the CRC bytes
are the last two bytes in
the transfer, these latches will contain CRC.
To test the latches,
CRC patterns must be found which will toggle each bit in the latch.
This requires finding data patterns which will generate the desired
CRC.

Previously,
no way existed to predict what data would be
necessary to result in a particular CRC.
To solve this problem,
formulas were derived for finding the data pattern which would
generate a given CRC. In addition, a
Pascal program was written
which uses the derived formulas to calculate the data for a required
CRC. This program is currently being
used by RAS in the development
of certain diagnostic tests.

The
derivation of the formulas is accomplished through
algebraic manipulation. This process can
be adapted to any CRC
generator polynomial.